Today Puzzle #782
Puzzle No. 782鈥� Tuesday 14 July
In a triangle the difference, in degrees, between the largest angle and the middle angle is the same as the difference between the middle angle and the smallest angle. What is the middle angle in degrees?
Today’s #PuzzleForToday has been set by the UK Mathematics Trust (https://www.ukmt.org.uk/), a charity based at the University of Leeds whose aim is to advance the education of young people in mathematics, primarily through the organisation and running of national mathematics competitions.
Click here for the answer
60 degrees. Suppose the angles are a°, b° and c°, where a > b > c. Then and so . Hence . Since the sum of the angles of a triangle is 180°, it follows that and hence b = 60.
-
![]()
Puzzle for Today 鈥� Index
Find all of the currently available Puzzles for Today, with answers.
More fiendish brain-teasers and quizzes on 大象传媒 Radio...
-
![]()
From autumn leaves to the magic roundabout: test yourself with our favourite quizzes.
-
![]()
We asked the intelligence agency to set our listeners a code-cracking challenge... Can you solve it?
-
![]()
Quiz: How many of these Mastermind music questions can you answer?
Here's a chance to find out whether your specialist subject on Mastermind could be the entire history of music.
-
![]()
Six conundrums to grapple with, including the Riddle of the Sphinx. Try not to forfeit your life...
